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Finding the Third Proportional to 80,871 and 170,121

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Solution

The third proportional to 80,871 and 170,121 is: 357,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,871 : 170,121 = 170,121 : x
  2. Step 2: Convert to fraction form
    80,871/170,121 = 170,121/x
  3. Step 3: Cross multiply
    80,871x = 170,121 × 170,121
  4. Step 4: Simplify right side
    80,871x = 28,941,154,641
  5. Step 5: Solve for x
    x = 28,941,154,641/80,871
  6. Step 6: Final answer
    x = 357,868.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.